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81432390 = 23513593539
BaseRepresentation
bin1001101101010…
…00111101000110
312200020012020110
410312220331012
5131321314030
612025213450
72006110134
oct466507506
9180205213
1081432390
1141a6a3a6
1223331286
1313b42360
14ab5a754
1572381b0
hex4da8f46

81432390 has 64 divisors (see below), whose sum is σ = 214099200. Its totient is φ = 19699584.

The previous prime is 81432367. The next prime is 81432409. The reversal of 81432390 is 9323418.

It is a super-2 number, since 2×814323902 = 13262468282224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21241 + ... + 24779.

It is an arithmetic number, because the mean of its divisors is an integer number (3345300).

Almost surely, 281432390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81432390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107049600).

81432390 is an abundant number, since it is smaller than the sum of its proper divisors (132666810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81432390 is a wasteful number, since it uses less digits than its factorization.

81432390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 81432390 is about 9023.9896941431. The cubic root of 81432390 is about 433.4433993914.

The spelling of 81432390 in words is "eighty-one million, four hundred thirty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 295 354 390 590 767 885 1534 1770 2301 3539 3835 4602 7078 7670 10617 11505 17695 21234 23010 35390 46007 53085 92014 106170 138021 208801 230035 276042 417602 460070 626403 690105 1044005 1252806 1380210 2088010 2714413 3132015 5428826 6264030 8143239 13572065 16286478 27144130 40716195 81432390